Indeed, elf pets do indeed leave on Christmas Eve! Just like other elves, elf pets have a very important role to play in the celebration of Christmas. Elf pets are responsible for spreading Christmas cheer and delivering presents to children around the world. On Christmas Eve, elf pets travel all around the world, delivering presents to children's homes and spreading holiday magic wherever they go. Elf pets are very special creatures, and they have a unique ability to bring joy and excitement to children on Christmas morning.